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Finding the Fourth Proportional to 454,751.82, 682,011.38 and 134,828.88

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Solution

The fourth proportional to 454,751.82, 682,011.38 and 134,828.88 is: 202,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,751.82 : 682,011.38 = 134,828.88 : x
  2. Step 2: Convert to fraction form
    454,751.82/682,011.38 = 134,828.88/x
  3. Step 3: Cross multiply
    454,751.82x = 682,011.38 × 134,828.88
  4. Step 4: Simplify right side
    454,751.82x = 91,954,830,849.73
  5. Step 5: Solve for x
    x = 91,954,830,849.73/454,751.82
  6. Step 6: Final answer
    x = 202,208.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.